Bartłomiej Skowron, Janusz Kaczmarek, Krzysztof Wójtowicz
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Abstract
This article examines the use of mathematical concepts in philosophy, focusing on topology, which may be viewed as a modern supplement to geometry. We show that Plato and Parmenides were already employing geometric ideas in their research, and discuss three examples of the application of topology to philosophical problems: the first concerns the analysis of the Cartesian distinction between res extensa and res cogitans, the second the ontology of possible worlds of Wittgenstein's Tractatus, and the third Leibniz's monadology. We also consider the role of topology in mathematical explanations of the sort found in science, arguing that it can perform a role in philosophy that is of comparable importance.
期刊介绍：
Metaphilosophy publishes articles and reviews books stressing considerations about philosophy and particular schools, methods, or fields of philosophy. The intended scope is very broad: no method, field, or school is excluded.
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